Question

A recipe calls for 3 cups of sugar and 9 cups of water how much water should be used with 2 cups of sugar

Answer 1

2 cups of sugar to 6 cups of water

Explanation:

3 cups of sugar to 9 cups of water is our starting point.

If we plan to use only 2 cups of sugar, which is 2/3 of 3 cups,

multiply both quantities in "3 cups of sugar to 9 cups of water" by 2/3:

(2/3)(3 cups of sugar) to (2/3)(9 cups of water), obtaining:

2 cups of sugar to 6 cups of water.

Note that the ratio here is 3:9, which reduces to 1:3: 1 cup of sugar to 3 cups of water.